2647880 has 32 divisors (see below), whose sum is σ = 6075000. Its totient is φ = 1038336.

The previous prime is 2647873. The next prime is 2647889. The reversal of 2647880 is 887462.

It can be written as a sum of positive squares in 4 ways, for example, as 2256004 + 391876 = 1502^2 + 626^2 .

It is a super-2 number, since 2×2647880² = 14022536988800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2647880.

It is not an unprimeable number, because it can be changed into a prime (2647889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1496 + ... + 2744.

2^2647880 is an apocalyptic number.

2647880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2647880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037500).

2647880 is an abundant number, since it is smaller than the sum of its proper divisors (3427120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2647880 is a wasteful number, since it uses less digits than its factorization.

2647880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2647880 is about 1627.2307765034. The cubic root of 2647880 is about 138.3458384528.

The spelling of 2647880 in words is "two million, six hundred forty-seven thousand, eight hundred eighty".